= 2^-16 * 3^10 *3^-8/ 2^12 * 2^28
= 2^(-16 - 12 + 28) * 3^(10 - 8)
= 2^0 * 3^2
= 9
answer
9
Given: 11-pound mixture of peanuts, almonds, and raisins
Cost:
peanuts - 1.5 per pound
almonds - 3 per pound
raisins - 1.5 per pound
mixture:
twice as many peanuts as almond; total cost of mixture is 21.
a + p + r = 11 lbs
a + 2a + r = 11 lbs
3a + r = 11
r = 11 - 3a
1.5(2a) + 3a + 1.5r = 21
3a + 3a + 1.5r = 21
6a + 1.5r = 21
6a + 1.5(11-3a) = 21
6a + 16.5 - 4.5a = 21
6a - 4.5a = 21 - 16.5
1.5a = 4.5
1.5a/1.5 = 4.5/1.5
a = 3
almonds = 3 lbs
peanuts = 2a = 2(3) = 6lbs
raisins = 11 - 3a = 11 - 3(3) = 11 - 9 = 2 lbs
<span>My answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins </span>
Answer:
-3
Step-by-step explanation:
log 1/3 27= 1/3^x=27 this means we have to simplify it. 1/3= 3^-1 power. Thus, (3^-1)^x=3^3. This is equal to 3^-x=3^3 therefore x=-3
Step-by-step explanation:
This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)
Others reason why Why?
Line m is perpendicular to Line c.
B and E are equidistant from c that BC=CE.
Why the others are wrong.
While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.
A translation doesnt occur about a line.
A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.
<span>They are each divisors of 6460.
</span>
